At the beginning of May British troops re-took South Georgia.
The war then spread to the sea with the sinking of the Argentine cruiser the General Belgrano.
Margaret Thatcher ordered the sinking as the Belgrano posed a threat to two British aircraft carriers.
Her decision was criticised because the ship was old and not strictly within the war zone.
Almost 370 Argentine soldiers were killed when the ship sank.
The Argentines responded by sinking HMS Sheffield. Twenty-two crew died.